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W. Aziz, C. J. Christopher, C. Pantazi, S. Walcher. NEW 2023-12-01
Liouvillian integrability of three dimensional vector fields.
Preprint. December, 2023.
Preprint Abstract

L. Baymout, R. Benterki, J. Llibre. NEW 2023-12-01
Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(14), 2350166. 2023. [DOI]
Abstract

A. Linero, V. Mañosa, D. Nieves. NEW 2023-12-01
On the accumulation points of non-periodic orbits of a difference equation of fourth order.
J. Math. Anal. Appl., 531, 127895. 2024.
Abstract

C. J. Christopher, C. Li, J. Torregrosa. NEW 2023-11-30
Limit Cycles of Differential Equations.
Birkhäuser Cham, 2024.
Link Springer

J. Villadelprat, D. Marín, L. Queiroz. NEW 2023-11-22
The period of the limit cycle bifurcating from a persistent polycycle.
Preprint. June, 2023.
Preprint Abstract

J. Llibre, F. Braun. NEW 2023-11-19
Parallel vector fields and global injectivity in two dimensions.
Preprint. November, 2023.
Abstract

J. Llibre, X. Zhang. NEW 2023-11-13
Periodic orbits and non-existence of C$^1$ first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in R^3.
Preprint. November, 2023.
Abstract

J. Llibre, L. P. Serantola. NEW 2023-11-13
New families of global cubic centers.
Preprint. November, 2023.
Abstract

J. Llibre, J. Yu. NEW 2023-11-13
Periodic orbits and C$^1$ non-integrability of the 3D van der pol-Duffing oscillator system.
Preprint. November, 2023.
Abstract

J. C. Artés. NEW 2023-11-05
Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection.
Qual. Theory Dyn. Syst. 2024 (Published online)
Abstract Full PDF

J. Llibre, C. Valls. NEW 2023-11-03
On the dynamics of the ACDM model of the universe.
Preprint. November, 2023.
Abstract

S. Li, C. Liu, J. Llibre. NEW 2023-10-29
On the Poincaré-Bendixson index formula for planar piecewise smooth vector fields.
J. Nonlinear Sci., 33(118), . 2023. [DOI]
Abstract

D. Juher, F. Mañosas, D. Rojas. NEW 2023-10-25
Characterization of the tree cycles with minimum positive entropy for any period.
Preprint. October, 2023.
Preprint Abstract

A. Gasull. NEW 2023-10-22
Mètodes de demostració.
Mat. Mat., 3, 85. 2023.
Preprint Abstract

J. Llibre, G. Rondon. NEW 2023-10-17
Global centers of a class of cubic polynomial differential systems.
Preprint. October, 2023.
Abstract

J. Llibre, L. Baymout, R. Benterki. NEW 2023-10-10
Bifurcation of limit cycles in a class of discontinuous piecewise differential systems.
Preprint. October, 2023.
Abstract

C. Cufí-Cabré, E. Fontich. NEW 2023-10-10
Invariant manifolds of maps and vector fields with nilpotent parabolic tori.
Preprint. October, 2023.
Preprint Abstract

J. Llibre, T. Salhi. NEW 2023-10-10
Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve $xy=0$ and formed by linear hamiltonian systems.
Preprint. October, 2023.
Abstract

J. Llibre, Y. Zhao, S. Li. NEW 2023-10-07
On the index of an isolated equilibrium point for piecewise polynomial differential systems.
Preprint. October, 2023.
Abstract

J. Llibre, X. Sun. NEW 2023-10-07
Small-amplitude periodic solutions in the jerk equation of arbitrary degree.
Preprint. October, 2023.
Abstract